Learning BN as probabilistic classifier

Learning a Bayesian network can be used to obtain a classifier for one of the nodes of the model. For more about classifier, see pyAgrum.skbn.

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aGrUM

interactive online version

In [1]:
import sys
import os

import numpy as np

import pyAgrum as gum
import pyAgrum.lib.notebook as gnb

%matplotlib inline
from pyAgrum.lib.bn2roc import showROC
from pyAgrum.lib.bn2roc import showPR
from pyAgrum.lib.bn2roc import showROC_PR

SIZE_LEARN=10000
SIZE_VALID=2000
In [2]:
bn=gum.loadBN("res/alarm.dsl")
bn
Out[2]:
G ERRLOWOUTPUT ERRLOWOUTPUT HRBP HRBP ERRLOWOUTPUT->HRBP ANAPHYLAXIS ANAPHYLAXIS TPR TPR ANAPHYLAXIS->TPR INTUBATION INTUBATION MINVOL MINVOL INTUBATION->MINVOL VENTALV VENTALV INTUBATION->VENTALV VENTLUNG VENTLUNG INTUBATION->VENTLUNG SHUNT SHUNT INTUBATION->SHUNT PRESS PRESS INTUBATION->PRESS LVFAILURE LVFAILURE HISTORY HISTORY LVFAILURE->HISTORY STROKEVOLUME STROKEVOLUME LVFAILURE->STROKEVOLUME LVEDVOLUME LVEDVOLUME LVFAILURE->LVEDVOLUME FIO2 FIO2 PVSAT PVSAT FIO2->PVSAT EXPCO2 EXPCO2 PAP PAP DISCONNECT DISCONNECT VENTTUBE VENTTUBE DISCONNECT->VENTTUBE SAO2 SAO2 PVSAT->SAO2 CVP CVP CATECHOL CATECHOL HR HR CATECHOL->HR PCWP PCWP PULMEMBOLUS PULMEMBOLUS PULMEMBOLUS->PAP PULMEMBOLUS->SHUNT HR->HRBP CO CO HR->CO HREKG HREKG HR->HREKG HRSAT HRSAT HR->HRSAT MINVOLSET MINVOLSET VENTMACH VENTMACH MINVOLSET->VENTMACH INSUFFANESTH INSUFFANESTH INSUFFANESTH->CATECHOL SAO2->CATECHOL TPR->CATECHOL BP BP TPR->BP KINKEDTUBE KINKEDTUBE KINKEDTUBE->VENTLUNG KINKEDTUBE->PRESS VENTALV->PVSAT ARTCO2 ARTCO2 VENTALV->ARTCO2 CO->BP VENTLUNG->EXPCO2 VENTLUNG->MINVOL VENTLUNG->VENTALV STROKEVOLUME->CO LVEDVOLUME->CVP LVEDVOLUME->PCWP SHUNT->SAO2 HYPOVOLEMIA HYPOVOLEMIA HYPOVOLEMIA->STROKEVOLUME HYPOVOLEMIA->LVEDVOLUME ERRCAUTER ERRCAUTER ERRCAUTER->HREKG ERRCAUTER->HRSAT VENTMACH->VENTTUBE VENTTUBE->VENTLUNG VENTTUBE->PRESS ARTCO2->EXPCO2 ARTCO2->CATECHOL
In [3]:
gum.generateSample(bn,SIZE_LEARN,"out/learn.csv",show_progress=True,with_labels=True)
gum.generateSample(bn,SIZE_VALID,"out/train.csv",show_progress=True,with_labels=True)
out/learn.csv: 100%|███████████████████████████████████████|
Log2-Likelihood : -151863.6602217963
out/train.csv: 100%|███████████████████████████████████████|
Log2-Likelihood : -30590.939784732487

Out[3]:
-30590.939784732487

Learning a BN from learn.csv

In [4]:
# Learning a BN from the database
learner=gum.BNLearner("out/train.csv")

bn2=learner.useMIIC().learnBN()
currentTime=learner.currentTime()
In [5]:
gnb.flow.add(gnb.getBN(bn2,size="9"),f"Learned with {SIZE_LEARN} lines in {currentTime:.3f}s")
gnb.flow.display()

G ERRLOWOUTPUT ERRLOWOUTPUT HRBP HRBP ERRLOWOUTPUT->HRBP ANAPHYLAXIS ANAPHYLAXIS TPR TPR ANAPHYLAXIS->TPR INTUBATION INTUBATION SHUNT SHUNT INTUBATION->SHUNT PRESS PRESS INTUBATION->PRESS LVFAILURE LVFAILURE LVEDVOLUME LVEDVOLUME LVFAILURE->LVEDVOLUME FIO2 FIO2 PVSAT PVSAT FIO2->PVSAT EXPCO2 EXPCO2 PAP PAP PULMEMBOLUS PULMEMBOLUS PAP->PULMEMBOLUS DISCONNECT DISCONNECT VENTTUBE VENTTUBE DISCONNECT->VENTTUBE SAO2 SAO2 PVSAT->SAO2 HYPOVOLEMIA HYPOVOLEMIA PVSAT->HYPOVOLEMIA CVP CVP MINVOL MINVOL CATECHOL CATECHOL HR HR CATECHOL->HR PCWP PCWP PULMEMBOLUS->SHUNT HR->HRBP CO CO HR->CO HREKG HREKG HR->HREKG HRSAT HRSAT HR->HRSAT MINVOLSET MINVOLSET VENTMACH VENTMACH MINVOLSET->VENTMACH INSUFFANESTH INSUFFANESTH SAO2->CATECHOL BP BP TPR->BP KINKEDTUBE KINKEDTUBE VENTLUNG VENTLUNG KINKEDTUBE->VENTLUNG KINKEDTUBE->PRESS HISTORY HISTORY HISTORY->LVFAILURE VENTALV VENTALV VENTALV->INTUBATION VENTALV->PVSAT ARTCO2 ARTCO2 VENTALV->ARTCO2 CO->BP VENTLUNG->EXPCO2 VENTLUNG->MINVOL VENTLUNG->VENTALV STROKEVOLUME STROKEVOLUME STROKEVOLUME->CO HREKG->HRSAT LVEDVOLUME->CVP LVEDVOLUME->PCWP SHUNT->SAO2 HYPOVOLEMIA->STROKEVOLUME HYPOVOLEMIA->LVEDVOLUME ERRCAUTER ERRCAUTER ERRCAUTER->HREKG ERRCAUTER->HRSAT VENTTUBE->VENTLUNG VENTTUBE->PRESS VENTMACH->VENTTUBE
Learned with 10000 lines in 0.147s
In [6]:
import pyAgrum.lib.bn_vs_bn as bnvsbn
gnb.flow.add(gnb.getBNDiff(bn,bn2,size="8!"),"Diff with MIIC")
gnb.flow.add(bnvsbn.graphDiffLegend())
gnb.flow.display()
G KINKEDTUBE KINKEDTUBE VENTLUNG VENTLUNG KINKEDTUBE->VENTLUNG PRESS PRESS KINKEDTUBE->PRESS HYPOVOLEMIA HYPOVOLEMIA STROKEVOLUME STROKEVOLUME HYPOVOLEMIA->STROKEVOLUME LVEDVOLUME LVEDVOLUME HYPOVOLEMIA->LVEDVOLUME INTUBATION INTUBATION SHUNT SHUNT INTUBATION->SHUNT INTUBATION->VENTLUNG MINVOL MINVOL INTUBATION->MINVOL INTUBATION->PRESS VENTALV VENTALV MINVOLSET MINVOLSET VENTMACH VENTMACH MINVOLSET->VENTMACH PULMEMBOLUS PULMEMBOLUS PAP PAP PULMEMBOLUS->SHUNT INSUFFANESTH INSUFFANESTH CATECHOL CATECHOL INSUFFANESTH->CATECHOL ERRLOWOUTPUT ERRLOWOUTPUT HRBP HRBP ERRLOWOUTPUT->HRBP ERRCAUTER ERRCAUTER HRSAT HRSAT ERRCAUTER->HRSAT HREKG HREKG ERRCAUTER->HREKG FIO2 FIO2 PVSAT PVSAT FIO2->PVSAT LVFAILURE LVFAILURE LVFAILURE->STROKEVOLUME LVFAILURE->LVEDVOLUME HISTORY HISTORY DISCONNECT DISCONNECT VENTTUBE VENTTUBE DISCONNECT->VENTTUBE ANAPHYLAXIS ANAPHYLAXIS TPR TPR ANAPHYLAXIS->TPR PAP->PULMEMBOLUS CO CO STROKEVOLUME->CO TPR->CATECHOL BP BP TPR->BP PCWP PCWP LVEDVOLUME->PCWP CVP CVP LVEDVOLUME->CVP VENTMACH->VENTTUBE SAO2 SAO2 SHUNT->SAO2 HISTORY->LVFAILURE VENTTUBE->VENTLUNG VENTTUBE->PRESS VENTLUNG->MINVOL VENTLUNG->VENTALV EXPCO2 EXPCO2 VENTLUNG->EXPCO2 VENTALV->INTUBATION ARTCO2 ARTCO2 VENTALV->ARTCO2 VENTALV->PVSAT ARTCO2->EXPCO2 ARTCO2->CATECHOL PVSAT->HYPOVOLEMIA PVSAT->SAO2 SAO2->CATECHOL HR HR CATECHOL->HR HR->HRBP HR->HRSAT HR->CO HR->HREKG CO->BP HREKG->HRSAT
Diff with MIIC
G a->b overflow c->d Missing e->f reversed g->h Correct
In [7]:
bn3=learner.useGreedyHillClimbing().useNMLCorrection().useScoreBDeu().learnBN()
gnb.flow.add(gnb.getBNDiff(bn,bn3,size="8!"),"Diff with GHC/NMD/BDEU")
gnb.flow.add(bnvsbn.graphDiffLegend())
gnb.flow.display()
G KINKEDTUBE KINKEDTUBE VENTLUNG VENTLUNG KINKEDTUBE->VENTLUNG PRESS PRESS KINKEDTUBE->PRESS HYPOVOLEMIA HYPOVOLEMIA STROKEVOLUME STROKEVOLUME HYPOVOLEMIA->STROKEVOLUME LVEDVOLUME LVEDVOLUME HYPOVOLEMIA->LVEDVOLUME PCWP PCWP HYPOVOLEMIA->PCWP INTUBATION INTUBATION SHUNT SHUNT INTUBATION->SHUNT MINVOL MINVOL INTUBATION->MINVOL INTUBATION->PRESS VENTALV VENTALV INTUBATION->VENTALV MINVOLSET MINVOLSET VENTMACH VENTMACH PULMEMBOLUS PULMEMBOLUS PAP PAP PULMEMBOLUS->PAP PULMEMBOLUS->SHUNT INSUFFANESTH INSUFFANESTH CATECHOL CATECHOL INSUFFANESTH->CATECHOL ERRLOWOUTPUT ERRLOWOUTPUT HRBP HRBP ERRLOWOUTPUT->HRBP ERRCAUTER ERRCAUTER HRSAT HRSAT HREKG HREKG ERRCAUTER->HREKG FIO2 FIO2 PVSAT PVSAT FIO2->PVSAT LVFAILURE LVFAILURE LVFAILURE->STROKEVOLUME HISTORY HISTORY DISCONNECT DISCONNECT VENTTUBE VENTTUBE ANAPHYLAXIS ANAPHYLAXIS TPR TPR CO CO STROKEVOLUME->CO TPR->ANAPHYLAXIS BP BP TPR->BP LVEDVOLUME->LVFAILURE LVEDVOLUME->HISTORY CVP CVP LVEDVOLUME->CVP VENTMACH->MINVOLSET VENTMACH->DISCONNECT PCWP->LVEDVOLUME SAO2 SAO2 SHUNT->SAO2 HISTORY->LVFAILURE HISTORY->STROKEVOLUME VENTTUBE->INTUBATION VENTTUBE->DISCONNECT VENTTUBE->VENTMACH VENTTUBE->VENTLUNG VENTTUBE->PRESS VENTLUNG->INTUBATION VENTLUNG->MINVOL VENTLUNG->VENTALV EXPCO2 EXPCO2 VENTLUNG->EXPCO2 ARTCO2 ARTCO2 VENTALV->ARTCO2 VENTALV->PVSAT ARTCO2->EXPCO2 ARTCO2->CATECHOL PVSAT->HYPOVOLEMIA PVSAT->SAO2 SAO2->CATECHOL CATECHOL->ERRLOWOUTPUT CATECHOL->TPR HR HR CATECHOL->HR HR->ERRCAUTER HR->HRBP HR->HRSAT HR->CO HR->HREKG HRSAT->ERRCAUTER CO->BP
Diff with GHC/NMD/BDEU
G a->b overflow c->d Missing e->f reversed g->h Correct
In [8]:
bn4=learner.useGreedyHillClimbing().useNMLCorrection().useScoreBDeu().setInitialDAG(bn2.dag()).learnBN()
gnb.flow.add(gnb.getBNDiff(bn,bn4,size="8!"),"Diff with GHC/NMD/BDEU with intial DAG from MIIC")
gnb.flow.add(bnvsbn.graphDiffLegend())
gnb.flow.display()
G KINKEDTUBE KINKEDTUBE VENTLUNG VENTLUNG KINKEDTUBE->VENTLUNG PRESS PRESS KINKEDTUBE->PRESS HYPOVOLEMIA HYPOVOLEMIA STROKEVOLUME STROKEVOLUME HYPOVOLEMIA->STROKEVOLUME LVEDVOLUME LVEDVOLUME HYPOVOLEMIA->LVEDVOLUME INTUBATION INTUBATION SHUNT SHUNT INTUBATION->SHUNT MINVOL MINVOL INTUBATION->MINVOL INTUBATION->PRESS VENTALV VENTALV INTUBATION->VENTALV MINVOLSET MINVOLSET VENTMACH VENTMACH MINVOLSET->VENTMACH PULMEMBOLUS PULMEMBOLUS PAP PAP PULMEMBOLUS->PAP PULMEMBOLUS->SHUNT INSUFFANESTH INSUFFANESTH CATECHOL CATECHOL INSUFFANESTH->CATECHOL ERRLOWOUTPUT ERRLOWOUTPUT HRBP HRBP ERRLOWOUTPUT->HRBP ERRCAUTER ERRCAUTER HRSAT HRSAT ERRCAUTER->HRSAT HREKG HREKG ERRCAUTER->HREKG FIO2 FIO2 LVFAILURE LVFAILURE FIO2->LVFAILURE PVSAT PVSAT FIO2->PVSAT LVFAILURE->STROKEVOLUME LVFAILURE->LVEDVOLUME HISTORY HISTORY DISCONNECT DISCONNECT VENTTUBE VENTTUBE DISCONNECT->VENTTUBE ANAPHYLAXIS ANAPHYLAXIS TPR TPR CO CO STROKEVOLUME->CO TPR->ANAPHYLAXIS BP BP TPR->BP PCWP PCWP LVEDVOLUME->PCWP CVP CVP LVEDVOLUME->CVP VENTMACH->VENTTUBE SAO2 SAO2 SHUNT->SAO2 HISTORY->LVFAILURE VENTTUBE->INTUBATION VENTTUBE->VENTLUNG VENTTUBE->PRESS VENTLUNG->INTUBATION VENTLUNG->MINVOL VENTLUNG->VENTALV EXPCO2 EXPCO2 VENTLUNG->EXPCO2 ARTCO2 ARTCO2 VENTALV->ARTCO2 VENTALV->PVSAT ARTCO2->EXPCO2 ARTCO2->CATECHOL PVSAT->HYPOVOLEMIA PVSAT->SAO2 SAO2->CATECHOL CATECHOL->ERRLOWOUTPUT CATECHOL->TPR HR HR CATECHOL->HR HR->HRBP HR->HRSAT HR->CO HR->HREKG CO->BP
Diff with GHC/NMD/BDEU with intial DAG from MIIC
G a->b overflow c->d Missing e->f reversed g->h Correct
In [9]:
print(bn2.names())
{'ERRLOWOUTPUT', 'ANAPHYLAXIS', 'HRBP', 'INTUBATION', 'LVFAILURE', 'FIO2', 'EXPCO2', 'PAP', 'DISCONNECT', 'PVSAT', 'CVP', 'MINVOL', 'CATECHOL', 'PCWP', 'PULMEMBOLUS', 'HR', 'MINVOLSET', 'INSUFFANESTH', 'SAO2', 'TPR', 'KINKEDTUBE', 'BP', 'HISTORY', 'VENTALV', 'CO', 'VENTLUNG', 'STROKEVOLUME', 'HREKG', 'LVEDVOLUME', 'SHUNT', 'HYPOVOLEMIA', 'ERRCAUTER', 'VENTTUBE', 'VENTMACH', 'ARTCO2', 'HRSAT', 'PRESS'}
In [10]:
gnb.showInference(bn2,evs={},size="10")
../_images/notebooks_32-Learning_learningClassifier_13_0.svg

Two classifiers from the learned BN

In [11]:
print(bn2.variableFromName("HRSAT"))
print(bn2.variableFromName("INTUBATION"))
HRSAT:Labelized({HIGH|LOW|NORMAL})
INTUBATION:Labelized({ESOPHAGEAL|NORMAL|ONESIDED})
In [12]:
showROC(bn2,"out/train.csv",'HRSAT','LOW',show_progress=False)
showROC(bn2,"out/train.csv",'HRSAT','NORMAL',show_progress=False)
showROC(bn2,"out/train.csv",'HRSAT','HIGH',show_progress=False);
../_images/notebooks_32-Learning_learningClassifier_16_0.svg
../_images/notebooks_32-Learning_learningClassifier_16_1.svg
../_images/notebooks_32-Learning_learningClassifier_16_2.svg
In [13]:
showROC(bn2,"out/train.csv",'INTUBATION',"ESOPHAGEAL",show_progress=False);
../_images/notebooks_32-Learning_learningClassifier_17_0.svg
In [14]:
showPR(bn2,"out/train.csv",'HRSAT','LOW',show_progress=False);
../_images/notebooks_32-Learning_learningClassifier_18_0.svg
In [15]:
showPR(bn2,"out/train.csv",'INTUBATION',"ESOPHAGEAL",show_progress=False);
../_images/notebooks_32-Learning_learningClassifier_19_0.svg
In [16]:
showROC_PR(bn2,"out/train.csv",'HRSAT','LOW',show_progress=False);
../_images/notebooks_32-Learning_learningClassifier_20_0.svg
In [17]:
showROC_PR(bn2,"out/train.csv",'INTUBATION',"ESOPHAGEAL",show_progress=False);
../_images/notebooks_32-Learning_learningClassifier_21_0.svg